4x^2-12x/x^2*3x-9/8x

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Solution for 4x^2-12x/x^2*3x-9/8x equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

4*x^2-((9/8)*x)-(3*((12*x)/(x^2))*x) = 0

4*x^2+(-9/8)*x-36 = 0

4*x^2-9/8*x-36 = 0

DELTA = (-9/8)^2-(-36*4*4)

DELTA = 36945/64

DELTA > 0

x = ((36945/64)^(1/2)+9/8)/(2*4) or x = (9/8-(36945/64)^(1/2))/(2*4)

x = ((36945/64)^(1/2)+9/8)/8 or x = (9/8-(36945/64)^(1/2))/8

x in { (9/8-(36945/64)^(1/2))/8, ((36945/64)^(1/2)+9/8)/8 }

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